{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,17]],"date-time":"2026-02-17T13:15:02Z","timestamp":1771334102294,"version":"3.50.1"},"reference-count":57,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[1981,1,1]],"date-time":"1981-01-01T00:00:00Z","timestamp":347155200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":11885,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1981]]},"DOI":"10.1016\/0012-365x(81)90206-5","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T23:33:13Z","timestamp":1027639993000},"page":"173-184","source":"Crossref","is-referenced-by-count":75,"title":["Metrics on partially ordered sets\u2014A survey"],"prefix":"10.1016","volume":"35","author":[{"given":"B.","family":"Monjardet","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(81)90206-5_BIB1","series-title":"Combinatorial Theory","author":"Aigner","year":"1979"},{"key":"10.1016\/0012-365X(81)90206-5_BIB2","first-page":"148","article-title":"Multidimensional scaling of measures of distance between partitions","volume":"10","author":"Arabie","year":"1973","journal-title":"J. Math. Physchol."},{"key":"10.1016\/0012-365X(81)90206-5_BIB3_1","article-title":"M\u00e9diane, distributivit\u00e9, eloignements, publications du Centre de Math\u00e9matique Sociale","author":"Barbut","year":"1961","journal-title":"E.P.H.E."},{"key":"10.1016\/0012-365X(81)90206-5_BIB3_2","first-page":"5","article-title":"M\u00e9diane, distributivit\u00e9, eloignements, publications du Centre de Math\u00e9matique Sociale","volume":"70","author":"Barbut","year":"1980","journal-title":"Math. Sci. Hum."},{"key":"10.1016\/0012-365X(81)90206-5_BIB4","series-title":"Tomes I et II","article-title":"Ordre et classification, alg\u00e8bre et combinatoire","author":"Barbut","year":"1970"},{"key":"10.1016\/0012-365X(81)90206-5_BIB5","first-page":"39","article-title":"Remarques sur les propri\u00e9t\u00e9s m\u00e9triques des ensembles ordonn\u00e9s","volume":"61","author":"Barth\u00e9lemy","year":"1978","journal-title":"Math. Sci. Hum."},{"key":"10.1016\/0012-365X(81)90206-5_BIB6","series-title":"Th\u00e8se d'Etat","article-title":"Propri\u00e9t\u00e9s metriques des ensembles ordonn\u00e9s. Comparaison et agr\u00e9gation des relations binaires","author":"Barth\u00e9lemy","year":"1979"},{"key":"10.1016\/0012-365X(81)90206-5_BIB7","first-page":"85","article-title":"Caract\u00e9risations axiomatiques de la distance de la diff\u00e9rence sym\u00e9trique entre des relations binaires","volume":"67","author":"Barth\u00e9lemy","year":"1979","journal-title":"Math. Sci. Hum."},{"issue":"3","key":"10.1016\/0012-365X(81)90206-5_BIB8","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1016\/0165-4896(81)90041-X","article-title":"The median procedure in cluster analysis and social choice theory","volume":"1","author":"Barth\u00e9lemy","year":"1981","journal-title":"Math. Social Sciences"},{"key":"10.1016\/0012-365X(81)90206-5_BIB9","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1002\/sapm1979602165","article-title":"Path-connected partially ordered sets","volume":"60","author":"Belding","year":"1979","journal-title":"Studies in Applied mathematics"},{"issue":"4","key":"10.1016\/0012-365X(81)90206-5_BIB10","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1017\/S0305004100011464","article-title":"On the combination of subalgebras","volume":"29","author":"Birkhoff","year":"1933","journal-title":"Proceed. Cambridge Philos. Soc."},{"key":"10.1016\/0012-365X(81)90206-5_BIB11","series-title":"Lattice theory","author":"Birkhoff","year":"1967"},{"key":"10.1016\/0012-365X(81)90206-5_BIB12","series-title":"Theory and applications of distance geometry","author":"Blumental","year":"1953"},{"key":"10.1016\/0012-365X(81)90206-5_BIB13","series-title":"Studies in geometry","author":"Blumenthal","year":"1970"},{"key":"10.1016\/0012-365X(81)90206-5_BIB14","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1080\/0022250X.1973.9989823","article-title":"Preference structures I: Distance between transitive preference relations","volume":"3","author":"Bogart","year":"1973","journal-title":"J. Math. Sociol."},{"issue":"2","key":"10.1016\/0012-365X(81)90206-5_BIB15","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1137\/0129023","article-title":"Preference structures II: Distance between asymetric relations","volume":"29","author":"Bogart","year":"1975","journal-title":"Siam J. Appl. Math."},{"key":"10.1016\/0012-365X(81)90206-5_BIB16","series-title":"Metric spaces of complex objects","author":"Boorman","year":"1970"},{"key":"10.1016\/0012-365X(81)90206-5_BIB17","first-page":"225","article-title":"Structural measures and the method of sorting","volume":"vol. I","author":"Boorman","year":"1972"},{"key":"10.1016\/0012-365X(81)90206-5_BIB18","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/0022-2496(73)90003-5","article-title":"Metrics on spaces of finite trees","volume":"10","author":"Boorman","year":"1973","journal-title":"J. Math. Psychol."},{"key":"10.1016\/0012-365X(81)90206-5_BIB19","first-page":"89","article-title":"M\u00e9triques born\u00e9es d\u00e9finies par des valuations sur un demi-treillis","volume":"56","author":"Bordes","year":"1976","journal-title":"Math. Sci. Hum."},{"key":"10.1016\/0012-365X(81)90206-5_BIB20","first-page":"213","article-title":"Information distance for discrete structures","volume":"vol. I","author":"Boyd","year":"1972"},{"key":"10.1016\/0012-365X(81)90206-5_BIB21","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1016\/0095-8956(74)90047-1","article-title":"A note on the metric properties of trees","volume":"17","author":"Buneman","year":"1974","journal-title":"J. Comb. Theory (B)"},{"key":"10.1016\/0012-365X(81)90206-5_BIB22","series-title":"Introduction \u00e0 l'analyse des donn\u00e9es","author":"Cailliez","year":"1976"},{"key":"10.1016\/0012-365X(81)90206-5_BIB23","first-page":"49","article-title":"Distances invariantes et L-cliques sur certains demi-groupes finis","volume":"67","author":"Cohen","year":"1979","journal-title":"Math. Sci. Hum."},{"key":"10.1016\/0012-365X(81)90206-5_BIB24","first-page":"63","article-title":"Valuation et semi-modularit\u00e9 dans les demi-treillis","volume":"56","author":"Comyn","year":"1976","journal-title":"Math. Sci. Hum."},{"key":"10.1016\/0012-365X(81)90206-5_BIB25","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/0012-365X(77)90029-2","article-title":"Path length in the covering graph of a lattice","volume":"19","author":"Duffus","year":"1977","journal-title":"Discr. Math."},{"key":"10.1016\/0012-365X(81)90206-5_BIB26","series-title":"Applications of graph theory to group structure","author":"Flament","year":"1963"},{"key":"10.1016\/0012-365X(81)90206-5_BIB27","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1037\/h0040748","article-title":"An axiomatic and experimental study of sensory order and measure","volume":"63","author":"Galanter","year":"1956","journal-title":"Psychological Review"},{"key":"10.1016\/0012-365X(81)90206-5_BIB28","doi-asserted-by":"crossref","first-page":"799","DOI":"10.2307\/2371251","article-title":"G\u00e9om\u00e9trie des syst\u00e8mes de choses norm\u00e9es","volume":"58","author":"Glivenko","year":"1936","journal-title":"Amer. J. Math."},{"key":"10.1016\/0012-365X(81)90206-5_BIB29","doi-asserted-by":"crossref","first-page":"941","DOI":"10.2307\/2371360","article-title":"Contributions \u00e0 l'\u00e9tude des syst\u00e8mes de choses norm\u00e9es","volume":"59","author":"Glivenko","year":"1937","journal-title":"Amer. J. Math."},{"key":"10.1016\/0012-365X(81)90206-5_BIB30","series-title":"Th\u00e9orie des structures","author":"Glivenko","year":"1938"},{"key":"10.1016\/0012-365X(81)90206-5_BIB31","first-page":"47","article-title":"Distance d\u00e9finie par une application monotone sur un treillis","volume":"56","author":"Grimonprez","year":"1976","journal-title":"Math. Sci. Hum."},{"key":"10.1016\/0012-365X(81)90206-5_BIB32","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1016\/0012-365X(72)90014-3","article-title":"Height on posets and graphs","volume":"2","author":"Haskins","year":"1972","journal-title":"Discr. Math."},{"key":"10.1016\/0012-365X(81)90206-5_BIB33","article-title":"La th\u00e9orie g\u00e9n\u00e9ralis\u00e9e de l`information et la mesure subjective de l`information","volume":"398","author":"Kampe de Feriet","year":"1974"},{"key":"10.1016\/0012-365X(81)90206-5_BIB34","series-title":"Inequalities II","first-page":"149","article-title":"Hypermetric spaces and metric transforms","author":"Kelly","year":"1972"},{"key":"10.1016\/0012-365X(81)90206-5_BIB35","first-page":"17","article-title":"Hypermetric spaces","volume":"490","author":"Kelly","year":"1975"},{"key":"10.1016\/0012-365X(81)90206-5_BIB36","first-page":"577","article-title":"Mathematics without numbers","volume":"88","author":"Kemeny","year":"1959","journal-title":"Daedalus"},{"key":"10.1016\/0012-365X(81)90206-5_BIB37","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2307\/3212039","article-title":"Recent results in information theory","volume":"3","author":"Kotz","year":"1966","journal-title":"J. Appl. Probability"},{"key":"10.1016\/0012-365X(81)90206-5_BIB38","first-page":"575","article-title":"Semi-modularit\u00e9 des treillis d'ultram\u00e9triques","volume":"288","author":"Leclerc","year":"1979","journal-title":"C.R.A.S."},{"key":"10.1016\/0012-365X(81)90206-5_BIB39","first-page":"49","article-title":"Information g\u00e9n\u00e9ralis\u00e9e et relations d`ordres","volume":"398","author":"Losfeld","year":"1974"},{"key":"10.1016\/0012-365X(81)90206-5_BIB40","doi-asserted-by":"crossref","DOI":"10.4064\/cm-6-1-319-327","article-title":"On a certain distance of sets and the corresponding distance of functions","volume":"6","author":"Marczewski","year":"1958","journal-title":"Colloquium Mathematicum"},{"key":"10.1016\/0012-365X(81)90206-5_BIB41","first-page":"253","volume":"5","author":"McDiarmid","year":"1975"},{"key":"10.1016\/0012-365X(81)90206-5_BIB42","doi-asserted-by":"crossref","first-page":"456","DOI":"10.2307\/1968458","article-title":"New foundations of projective and affine geometry","volume":"37","author":"Menger","year":"1936","journal-title":"Ann. Math."},{"key":"10.1016\/0012-365X(81)90206-5_BIB43","article-title":"Qualitative factor analysis","author":"Mirkin","year":"1976","journal-title":"Statistika"},{"key":"10.1016\/0012-365X(81)90206-5_BIB44","series-title":"Group choice","author":"Mirkin","year":"1979"},{"issue":"5","key":"10.1016\/0012-365X(81)90206-5_BIB45","first-page":"786","article-title":"Measurement of distance between distinct partitions of a finite set of objects","volume":"31","author":"Mirkin","year":"1970","journal-title":"Automatika i Telemekanika"},{"key":"10.1016\/0012-365X(81)90206-5_BIB46","first-page":"77","article-title":"Caract\u00e9risation m\u00e9trique des ensembles ordonn\u00e9s semi-modulaires","volume":"56","author":"Monjardet","year":"1976","journal-title":"Math. Sci. Hum."},{"key":"10.1016\/0012-365X(81)90206-5_BIB47","first-page":"5","article-title":"M\u00e9triques et Relations","volume":"67","author":"Monjardet","year":"1979","journal-title":"Math. Sci. Hum."},{"key":"10.1016\/0012-365X(81)90206-5_BIB48","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0167-5060(08)70040-2","article-title":"Th\u00e9orie et applications de la m\u00e9diane dans les treillis distributifs finis","volume":"9","author":"Monjardet","year":"1980","journal-title":"Ann. Discr. Math."},{"key":"10.1016\/0012-365X(81)90206-5_BIB49","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1016\/S0019-9958(61)80055-7","article-title":"A metric space of discrete probability distributions","volume":"4","author":"Rajski","year":"1961","journal-title":"Information and Control"},{"key":"10.1016\/0012-365X(81)90206-5_BIB50","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1007\/BF02289843","article-title":"A metric and an ordering on sets","volume":"24","author":"Restle","year":"1959","journal-title":"Psychometrika"},{"key":"10.1016\/0012-365X(81)90206-5_BIB51","first-page":"39","article-title":"Distance minimale entre partitions et pr\u00e9ordonnances dans un ensemble fini","volume":"67","author":"Schader","year":"1979","journal-title":"Math. Sci. Hum."},{"key":"10.1016\/0012-365X(81)90206-5_BIB52","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/BF01893584","article-title":"Hierarchical analysis: classification with ordinal object dissimilarities","volume":"27","author":"Schader","year":"1980","journal-title":"Metrika"},{"issue":"5","key":"10.1016\/0012-365X(81)90206-5_BIB53","first-page":"1037","article-title":"On Hamming geometry of unitary cubes (Russian)","volume":"SSSR 134","author":"Tylkin","year":"1960","journal-title":"Doklady Akad. Nauk."},{"issue":"2","key":"10.1016\/0012-365X(81)90206-5_BIB54","doi-asserted-by":"crossref","first-page":"309","DOI":"10.2307\/1968920","article-title":"Metric lattices","volume":"40","author":"Wilcox","year":"1939","journal-title":"Ann. Math."},{"issue":"2","key":"10.1016\/0012-365X(81)90206-5_BIB55","first-page":"341","article-title":"Characterization of pseudometric lattices","volume":"6","author":"Murti","year":"1978","journal-title":"Math. Sem. Notes Kobe Univ."},{"key":"10.1016\/0012-365X(81)90206-5_BIB56","first-page":"5","article-title":"Description combinatoire des ultram\u00e9triques","volume":"73","author":"Leclerc","year":"1981","journal-title":"Math. Sci. Hum."}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X81902065?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X81902065?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,2,5]],"date-time":"2020-02-05T05:11:26Z","timestamp":1580879486000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X81902065"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1981]]},"references-count":57,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1981]]}},"alternative-id":["0012365X81902065"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(81)90206-5","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1981]]}}}